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Question : What is the measure of the central angle of the arc whose length is 11 cm and the radius of the circle is 14 cm?

Option 1: 45$^\circ$

Option 2: 60$^\circ$

Option 3: 75$^\circ$

Option 4: 90$^\circ$


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 27th Jan, 2024

Correct Answer: 45$^\circ$


Solution : We have to find: the measure of the central angle of the arc whose length is 11 cm and the radius of the circle is 14 cm.
We know that,
Length of arc $= \frac{\theta}{360^\circ}\times 2\pi r$
$⇒11= \frac{\theta}{360^\circ}\times 2\times \frac {22}{7}\times 14$
$\therefore\theta =45^\circ$
Hence, the correct answer is 45$^\circ$.

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